Atlas2,745 of 3,942

Moth region HS.375

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.375 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 316.81 time units, published by Hristov, Hristova & Tanikawa (2026). Stable orbits from the moth-like part of the search domain, between the figure-eight and the Schubart regions. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.000215 of each other at a top speed of 68.2, line up 342 times a period, and the computed loop closes to 8.4×10⁻²⁴.

Measured over one period

Period: 316.8140555
Masses: 1 : 1 : 1
Energy: -1.38350
Angular momentum: 0
Closest approach: 2.1×10⁻⁴
Top speed: 68.20
Path length: 790.70
Alignments per period: 342
Topology: abaBAbabABabaBAbabABAbaBABabABAbabABabaBAbabABabaBABabABAbaBABabaBAbabABabaBAbabABAbaBABabABAbabABabaBAbabABAbaBABabABAbaBABabaBAbabABabaBABabABAbaBABabABAbabABabaBAbabABAbaBABabABAbaBABabaBAbabABabaBABabABAbaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 8.4×10⁻²⁴

Neighbours on the map

All Moth region, the families of periodic three-body orbits, or the atlas map.